Mutational Analysis: A Joint Framework for Cauchy Problems in and Beyond Vector Spaces
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English | 8 Jun. 2010 | ISBN: 3642124704 | 530 Pages | PDF | 5.02 MB
Mutational Analysis: A Joint Framework for Cauchy Problems in and Beyond Vector Spaces (Lecture Notes in Mathematics) by Lorenzo Thomas
This book generalizes ordinary differential equations beyond the borders of vector spaces with a focus on the well-posed Cauchy problem in finite time intervals. Here are some of the examples: - Feedback evolutions of compact subsets of the Euclidean space - Birth-and-growth processes of random sets (not necessarily convex) - Semilinear evolution equations - Nonlocal parabolic differential equations - Nonlinear transport equations for Radon measures - A structured population model - Stochastic differential equations with nonlocal sample dependence and how they can be coupled in systems immediately - due to the joint framework of Mutational Analysis. Finally, the book offers new tools for modelling.
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